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http://dx.doi.org/10.14403/jcms.2011.24.4.21

NORMALIZED DUALITY MAPPING AND GENERALIZED BEST APPROXIMATIONS

Park, Sung Ho (Department of mathematics Sogang University)
Rhee, Hyang Joo (Department of mathematics Duksung Women's University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.24, no.4, 2011 , pp. 849-862 More about this Journal

Abstract

In this paper, we introduce certain concepts which provide us with a perspective and insight into the generalization of orthogonality with the normalized duality mapping. The material of this paper will be mainly, but not only, used in developing algorithms for the best approximation problem in a Banach space.

Keywords

Birhkoff orthogonality; J-orthogonality;

Citations & Related Records

Reference

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